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3122030034 = 233417119861
BaseRepresentation
bin1011101000010110…
…0110010111010010
322001120122120002000
42322011212113102
522343214430114
61233443534430
7140236550244
oct27205462722
98046576060
103122030034
111362339412
1273168a416
133a9a6c466
142188d0094
1513414ae09
hexba1665d2

3122030034 has 64 divisors (see below), whose sum is σ = 7207522560. Its totient is φ = 1000944000.

The previous prime is 3122030027. The next prime is 3122030071. The reversal of 3122030034 is 4300302213.

3122030034 is a `hidden beast` number, since 312 + 20 + 300 + 34 = 666.

3122030034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3122029989 and 3122030016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147264 + ... + 167124.

It is an arithmetic number, because the mean of its divisors is an integer number (112617540).

Almost surely, 23122030034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122030034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603761280).

3122030034 is an abundant number, since it is smaller than the sum of its proper divisors (4085492526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3122030034 is a wasteful number, since it uses less digits than its factorization.

3122030034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19984 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3122030034 is about 55875.1289394485. The cubic root of 3122030034 is about 1461.5455631943.

Adding to 3122030034 its reverse (4300302213), we get a palindrome (7422332247).

The spelling of 3122030034 in words is "three billion, one hundred twenty-two million, thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 71 82 123 142 213 246 369 426 639 738 1107 1278 1917 2214 2911 3834 5822 8733 17466 19861 26199 39722 52398 59583 78597 119166 157194 178749 357498 536247 814301 1072494 1410131 1628602 2442903 2820262 4230393 4885806 7328709 8460786 12691179 14657418 21986127 25382358 38073537 43972254 57815371 76147074 115630742 173446113 346892226 520338339 1040676678 1561015017 3122030034